Learn Turkish: Raporun tersine, optimizasyon işlemi devam ediyormuş. - Contrary to the report, the optimization process is apparently continuing.

In Turkish, expressing "contrary to [something]" is built like a possessive relationship, literally translating to "to the contrary of [something]". Because of this, the specific noun being contradicted (rapor) needs the genitive suffix -un. The word tersine naturally contains the matching possessive suffix -i (followed by the buffer -n- and the dative -e).

Could I use aksine instead of tersine in this sentence?

Yes, absolutely! Raporun aksine and raporun tersine mean exactly the same thing here ("contrary to the report" or "unlike the report") and are completely interchangeable.

Why is it optimizasyon işlemi with an -i at the end, rather than just optimizasyon işlem?

This is a standard noun compound. When you put two nouns together to create a single concept (like "optimization process"), the second noun must take a possessive suffix. Since işlem ends in a consonant, it takes the third-person possessive suffix -i.

Why does the sentence use devam ediyormuş instead of just devam ediyor?